Question

In the given Figure, ADC = 130° and chord BC = chord BE. Find CBA​

Answer 1

Answer:

Correct option is

A

100

In △BCO and △BEO

⇒  BC=BE                 [ Given ]

⇒  ∠BCO=∠BEO              [ Base angles of equal sides are also equal ]

⇒  BO=BO                  [ Common side ]

∴  △BCO≅△BEO             [ By SAS congruence rule ]

⇒  ∠CBO=∠OBE        [ C.P.C.T. ]

Quadrilateral ABCD is a cyclic quadrilateral since, its points lies on a circle.

⇒  ∠ADC+∠CBA=180  

o

            [ Sum of opposite angles of a cyclic quadrilateral is supplementary ]

⇒  130  

o

+∠CBA=180  

o

 

⇒  ∠CBA=50  

o

 i.e. ∠CBO=50  

o

 

∴  ∠OBE=50  

o

 

⇒  ∠CBE=50  

o

+50  

o

=100  

Step-by-step explanation: